An elementary purely algebraic approach to generalized functions and\n operational calculus

2016/05/06 by Vakhtang Lomadze, Lomadze, Vakhtang
Computer Science · Mathematics · #44A40 #44A45 #Advanced Topology and Set Theory #Classical Analysis and ODEs (math.CA) #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.1605.02050

openalex publication_date 2016/05/06 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

The space of Schwartz distributions of finite order is represented as a\nfactor space of the space of, what we call, Mikusinski functions. The point of\nMikusinski functions is that they admit a multiplication by convergent Laurent\nseries. It is shown that this multiplication provides a natural simple basis\nfor Heaviside's operational calculus.\n

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